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Finding the Fourth Proportional to 13,241.98, 19,833.81 and 8,838.82

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Solution

The fourth proportional to 13,241.98, 19,833.81 and 8,838.82 is: 13,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.98 : 19,833.81 = 8,838.82 : x
  2. Step 2: Convert to fraction form
    13,241.98/19,833.81 = 8,838.82/x
  3. Step 3: Cross multiply
    13,241.98x = 19,833.81 × 8,838.82
  4. Step 4: Simplify right side
    13,241.98x = 175,307,476.50
  5. Step 5: Solve for x
    x = 175,307,476.50/13,241.98
  6. Step 6: Final answer
    x = 13,238.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.